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Answer on Abstract Algebra Question for Mallory

Question #11226
On one of your space voyages, you uncover an alien document in which some counting is done: aty, ger, ryk, aty-aty, aty-ger, aty-ryk. What base does this alien civilization apparently use?

Then, continue counting through twenty in that system.
Expert's answer
Base here is 3. So, the following count will be:

7 ger-aty

8 ger-ger

9 ger-ryk

10 ryk-aty

11 ryk-ger

12 ryk-ryk

13 aty-aty-aty

14 aty-aty-ger

15 aty-aty-ryk

16 aty-ger-aty

17 aty-ger-ger

18 aty-ger-ryk

19 aty-ryk-aty

20 aty-ryk-ger

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